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Finding the Fourth Proportional to 11.78, 16.26 and 9.49

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Solution

The fourth proportional to 11.78, 16.26 and 9.49 is: 13.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.78 : 16.26 = 9.49 : x
  2. Step 2: Convert to fraction form
    11.78/16.26 = 9.49/x
  3. Step 3: Cross multiply
    11.78x = 16.26 × 9.49
  4. Step 4: Simplify right side
    11.78x = 154.31
  5. Step 5: Solve for x
    x = 154.31/11.78
  6. Step 6: Final answer
    x = 13.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.